融合范畴等变化的融合规则
量子代数
2019-10-18 v2 表示论
摘要
我们根据融合范畴的融合规则和与群作用相关的群论数据，确定了有限群作用下融合范畴的等变化的融合规则。作为一个应用，我们得到了一个用群论数据表示的尖点融合范畴等变化中融合规则的公式。这包含了任何辫子群论融合范畴中融合规则的描述。
引用
@article{arxiv.1206.6625,
title = {Fusion rules of equivariantizations of fusion categories},
author = {Sebastian Burciu and Sonia Natale},
journal= {arXiv preprint arXiv:1206.6625},
year = {2019}
}
备注
The assumption that the group action is by tensor autoequivalences on a fusion category was added in Section 2. Modified statements of Proposition 6.2, Corollary 2.13. Statements of Propositions 3.12 and Corollary 3.13 modified accordingly